Let $\mathcal{F}^{\bullet}$ and $\mathcal{G}^{\bullet}$ be complexes of coherent sheaves on a variety $X$. There is a spectral sequence $$E_2^{p,q}=\mathcal{Ext}^p(\mathcal{H}^q(\mathcal{F}^{\bullet}),\mathcal{G}^{\bullet}) \Longrightarrow \mathcal{Ext}^{p-q}(\mathcal{F}^{\bullet},\mathcal{G}^{\bullet})$$
Are the second differentials in this sequence $$d_2^{p,q}:\mathcal{Ext}^p(\mathcal{H}^q(\mathcal{F}^{\bullet}),\mathcal{G}^{\bullet}) \rightarrow \mathcal{Ext}^{p+2}(\mathcal{H}^{q-1}(\mathcal{F}^{\bullet}),\mathcal{G}^{\bullet})$$
or
$$d_2^{p,q}:\mathcal{Ext}^p(\mathcal{H}^q(\mathcal{F}^{\bullet}),\mathcal{G}^{\bullet}) \rightarrow \mathcal{Ext}^{p+2}(\mathcal{H}^{q+1}(\mathcal{F}^{\bullet}),\mathcal{G}^{\bullet})$$
Thanks in advance for any insight.